8013741401 has 12 divisors (see below), whose sum is σ = 8537091612. Its totient is φ = 7520882688.

The previous prime is 8013741331. The next prime is 8013741409. The reversal of 8013741401 is 1041473108.

It can be written as a sum of positive squares in 6 ways, for example, as 3312400 + 8010429001 = 1820^2 + 89501^2 .

It is not a de Polignac number, because 8013741401 - 2²⁶ = 7946632537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8013741409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62741 + ... + 141293.

It is an arithmetic number, because the mean of its divisors is an integer number (711424301).

Almost surely, 2^8013741401 is an apocalyptic number.

It is an amenable number.

8013741401 is a deficient number, since it is larger than the sum of its proper divisors (523350211).

8013741401 is a wasteful number, since it uses less digits than its factorization.

8013741401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78940 (or 78923 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8013741401 is about 89519.5029085841. The cubic root of 8013741401 is about 2001.1444617288.

The spelling of 8013741401 in words is "eight billion, thirteen million, seven hundred forty-one thousand, four hundred one".